The French media group’s bid values the video games company at $569 million

PARIS—Vivendi SA on Thursday launched a takeover bid for Gameloft SE, attempting to push further into video games after re-entering the sector last year.

The French media group said its supervisory board approved a tender offer for the shares of Gameloft at €6 a share ($6.67), valuing the company at €513 million. Gameloft has been trying to fend off Vivendi’s advances since it started building up its more than 30% stake in the...